Category:Quaternion Modulus
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This category contains results about the Quaternion Modulus.
Definition 1
The (quaternion) modulus of $\mathbf x$ is the real-valued function defined and denoted as:
- $\size {\mathbf x} := \sqrt {a^2 + b^2 + c^2 + d^2}$
Definition 2
Let $\mathbf x$ be expressed in matrix form:
- $\mathbf x = \begin {bmatrix} a + b i & c + d i \\ -c + d i & a - b i \end {bmatrix}$
The (quaternion) modulus of $\mathbf x$ is the real-valued function defined and denoted as:
- $\size {\mathbf x} := \sqrt {\map \det {\mathbf x} }$
Pages in category "Quaternion Modulus"
The following 4 pages are in this category, out of 4 total.